Area of square base = 324 m²
Length of the square side = √324 = 18
The side of the square is the base of the triangle.
Area of triangle = (1/2)*base* height
135 = (1/2)*18* h
135 = 9h
135/9 = h
15 = h
height = 15 m
To get the height of the Pyramid, the height of the Triangle and half the length of the side of the square form a right angled triangle.
Hypotenus = 15
Half length of square = 18/2 = 9
Height of Pyramid = H
By Pythagoras' Theorem:
15² = H² + 9²
225 =H² + 81
H² + 81 = 225
H² = 225 - 81
H² = 144 Take square root of both sides
H = √144
H = 12
Height = 12 meters.
Option C.
Solution:
<u>Note that:</u>
- Han's house = 450 m from school
- Lin's house = (450 - 135) from school
<u>Looking at the options, we can tell that the letter "z" represents Lin. </u>
- => z = (450 - 135)
- => z = 450 - 135
This option matches with Option D.
Option D is correct.
Answer:
see explanation
Step-by-step explanation:
note that 3.28 = 2 × 1.64
This could be a geometric sequence with common ratio r = 2
To obtain the next term multiply the previous term by 2
3.28 × 2 = 6.56
6.56 × 2 = 13.12
1.64, 3.28, 6.56, 13.56 ← first 4 terms in sequence
Since C is 61 degrees, A is 90 degrees because of the right angle, and B would be 29 degrees because you add 61 and 90 together and subtract that amount from 180.
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